Explicit additive decomposition of norms on ℝ ²

Authors

Iosif Pinelis, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

2016

Department

Department of Mathematical Sciences

Abstract

A well-known result by Lindenstrauss is that any two-dimensional normed space can be isometrically imbedded into L1(0, 1). We provide an explicit form of a such an imbedding. The proof is elementary and self-contained.

Publication Title

American Mathematical Monthly

Recommended Citation

Pinelis, I. (2016). Explicit additive decomposition of norms on ℝ ² . American Mathematical Monthly, 123(5), 491-496. http://doi.org/10.4169/amer.math.monthly.123.5.491
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/14240